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Simplifying 4x(2x + -5) + 7x(3x + 3) = 0 Reorder the terms: 4x(-5 + 2x) + 7x(3x + 3) = 0 (-5 * 4x + 2x * 4x) + 7x(3x + 3) = 0 (-20x + 8x2) + 7x(3x + 3) = 0 Reorder the terms: -20x + 8x2 + 7x(3 + 3x) = 0 -20x + 8x2 + (3 * 7x + 3x * 7x) = 0 -20x + 8x2 + (21x + 21x2) = 0 Reorder the terms: -20x + 21x + 8x2 + 21x2 = 0 Combine like terms: -20x + 21x = 1x 1x + 8x2 + 21x2 = 0 Combine like terms: 8x2 + 21x2 = 29x2 1x + 29x2 = 0 Solving 1x + 29x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 29x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 29x)' equal to zero and attempt to solve: Simplifying 1 + 29x = 0 Solving 1 + 29x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 29x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 29x = 0 + -1 29x = 0 + -1 Combine like terms: 0 + -1 = -1 29x = -1 Divide each side by '29'. x = -0.03448275862 Simplifying x = -0.03448275862Solution
x = {0, -0.03448275862}
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